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2378346911720 = 23513311186312437
BaseRepresentation
bin100010100111000000100…
…001011101011111101000
322102100221002022100220022
4202213000201131133220
5302431323302133340
65020333020220012
7333554440122563
oct42470041353750
98370832270808
102378346911720
118377189124aa
12324b3369a608
1314337ab95030
1483180db74da
1541ced9713b5
hex229c085d7e8

2378346911720 has 128 divisors (see below), whose sum is σ = 5949797898240. Its totient is φ = 849691192320.

The previous prime is 2378346911671. The next prime is 2378346911737. The reversal of 2378346911720 is 271196438732.

It is a Cunningham number, because it is equal to 15421892-1.

It is a super-2 number, since 2×23783469117202 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191225342 + ... + 191237778.

It is an arithmetic number, because the mean of its divisors is an integer number (46482796080).

Almost surely, 22378346911720 is an apocalyptic number.

2378346911720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2378346911720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974898949120).

2378346911720 is an abundant number, since it is smaller than the sum of its proper divisors (3571450986520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2378346911720 is a wasteful number, since it uses less digits than its factorization.

2378346911720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24355 (or 24351 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 53.

The spelling of 2378346911720 in words is "two trillion, three hundred seventy-eight billion, three hundred forty-six million, nine hundred eleven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 1240 1612 2015 3224 4030 8060 11863 12437 16120 23726 24874 47452 49748 59315 62185 94904 99496 118630 124370 154219 161681 237260 248740 308438 323362 367753 385547 474520 497480 616876 646724 735506 771094 771095 808405 1233752 1293448 1471012 1542188 1542190 1616810 1838765 1927735 2942024 3084376 3084380 3233620 3677530 3855470 4780789 5012111 6168760 6467240 7355060 7710940 9561578 10024222 14710120 15421880 19123156 20048444 23903945 25060555 38246312 40096888 47807890 50121110 95615780 100242220 147540131 191231560 200484440 295080262 590160524 737700655 1180321048 1475401310 1918021703 2950802620 3836043406 4573744061 5901605240 7672086812 9147488122 9590108515 15344173624 18294976244 19180217030 22868720305 36589952488 38360434060 45737440610 59458672793 76720868120 91474881220 118917345586 182949762440 237834691172 297293363965 475669382344 594586727930 1189173455860 2378346911720